Quadrilateral PQRS with diagonals PR and SQ that intersect at point T
2 answers:
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Answer:
Z =7
Step-by-step explanation:
The middle segment theorem of a triangle says that: A middle segment connecting two sides of a triangle is parallel to the third side and is half its length.
In this case, the middle segment connecting two sides of a triangle is Z.
This means that
Finally we have that:
The length of the middle segment is 7 units
9514 1404 393
Answer:
c. 1150 square units
Step-by-step explanation:
The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.
The area is the product of the long side and the height to the long side:
A = bh
A = (50 units)(23 units) = 1150 units²
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<em>Additional comment</em>
This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.
If the height is measured from the short side, then the area is 287.5 square units.
